1,2 Let (an)nen be a sequence of real numbers that is bounded from above. Consider L...

Question

Question

Let (an)nen be a sequence of real numbers that is bounded from above. Consider L := lim suPn7o An, prove that:

1,2

For all e > 0 there are only finitely many n for which an > L + €. For all e > 0 there are infinitely many n for which an > L

Answer 1

Answer #1

let (an) NEIN be a sequence of real numbers that is bounded from consider l:= above tim sup an nyo Prove that : For all exo t

Answer 2

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